One-third of a tower is painted black, $$\frac{5}{{11}}$$th of the remaining part is painted red and the rest is painted white. If the white part measures 60 ft.,the total height of the tower is-
a) 3100 ft.
b) 154 ft.
c) 165 ft.
d) 110 ft.
Answer: c
Explanation: Let the tower height will be x ft.
Black part will be = $$\frac{1}{3}x$$
Remaining part = $$x – \frac{1}{3}x = \frac{2}{3}x$$
Red part will be = $$\frac{2}{3}x \times \frac{5}{{11}} = \frac{{10}}{{33}}x$$
White part will be = $$\frac{2}{3}x – \frac{{10}}{{33}}x = \frac{{12x}}{{33}}$$
$$\frac{{12x}}{{33}}$$ = 60
x = 165 ft.
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